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WEAK CONTINUITY OF THE COMPLEX
$k$-HESSIAN OPERATORS WITH RESPECT TO LOCAL UNIFORM CONVERGENCE
Published online by Cambridge University Press: 11 June 2013
Abstract
In this paper, we study the properties of $k$-plurisubharmonic functions defined on domains in
${ \mathbb{C} }^{n} $. By the monotonicity formula, we give an alternative proof of the weak continuity of complex
$k$-Hessian operators with respect to local uniform convergence.
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- Research Article
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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